631647746136 has 128 divisors (see below), whose sum is σ = 1915056000000. Its totient is φ = 191311217280.

The previous prime is 631647746117. The next prime is 631647746153.

631647746136 is a `hidden beast` number, since 6 + 3 + 16 + 4 + 7 + 7 + 4 + 613 + 6 = 666.

631647746136 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4683130 + ... + 4816118.

It is an arithmetic number, because the mean of its divisors is an integer number (14961375000).

Almost surely, 2^631647746136 is an apocalyptic number.

631647746136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 631647746136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957528000000).

631647746136 is an abundant number, since it is smaller than the sum of its proper divisors (1283408253864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

631647746136 is a wasteful number, since it uses less digits than its factorization.

631647746136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135014 (or 135004 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 631647746136 in words is "six hundred thirty-one billion, six hundred forty-seven million, seven hundred forty-six thousand, one hundred thirty-six".